Question

if two legs of a right triangle are equal and the hypotenuse measures 64 cm find the length of each leg

Answer 1

Solution :-

Let ABC be the triangle.

Then, 

AB is the hypotenuse, BC is the perpendicular and AC is the base and BC and AC are of equal length.

Let BC = AC = x

Then, applying Pythagoras Theorem.

(Hypotenuse)² = (Perpendicular)² + (Base)²

⇒ (AB)² = (BC)² + (AC)²

⇒ (64)² = (x)² + (x)²

⇒ 4096 = 2(x)²

⇒ (x)² = 4096/2

⇒ (x)² = 2048

⇒ x = √2048

⇒ x = 45.254 cm

So, length of each side is 45.254 cm

Answer.